83407284 has 36 divisors (see below), whose sum is σ = 215981220. Its totient is φ = 27123840.

The previous prime is 83407273. The next prime is 83407327. The reversal of 83407284 is 48270438.

It can be written as a sum of positive squares in 2 ways, for example, as 21344400 + 62062884 = 4620^2 + 7878^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26779 + ... + 29730.

Almost surely, 2^83407284 is an apocalyptic number.

It is an amenable number.

83407284 is an abundant number, since it is smaller than the sum of its proper divisors (132573936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83407284 is a wasteful number, since it uses less digits than its factorization.

83407284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56560 (or 56555 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 83407284 is about 9132.7588383796. The cubic root of 83407284 is about 436.9193978837.

The spelling of 83407284 in words is "eighty-three million, four hundred seven thousand, two hundred eighty-four".